Find the LCM of 547, 621, 748, 682, 693 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 547, 621, 748, 682, 693. So, keep reading to learn more.
Given numbers are 547,621,748,682,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,621,748,682,693 is 55136635092.
Find LCM of 547,621,748,682,693 with Prime Factorization
2 | 547, 621, 748, 682, 693 |
3 | 547, 621, 374, 341, 693 |
3 | 547, 207, 374, 341, 231 |
11 | 547, 69, 374, 341, 77 |
547, 69, 34, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 547 x 69 x 34 x 31 x 7 = 55136635092
Therefore, the lowest common multiple of 547,621,748,682,693 is 55136635092.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
547 x 621 x 748 x 682 x 693 = 120087591230376
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
547 : 1, 547
621 : 1, 3, 9, 23, 27, 69, 207, 621
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
682 : 1, 2, 11, 22, 31, 62, 341, 682
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,621,748,682,693, is 1.
Now, the common factors can be found like this.
547:547
621:3x 3x 3x 23
748:2x 2x 11x 17
682:2x 11x 31
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11 = 2178
Therefore, the value for common factors is 2178.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 120087591230376/(1x2178)
LCM = 120087591230376/2178
LCM = 55136635092
Thus, we can understand that the LCM of 547,621,748,682,693 is 55136635092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 621, 748, 682, 693?
Answer: LCM of 547, 621, 748, 682, 693 is 55136635092.
2. How to calculate the LCM of 547, 621, 748, 682, 693?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 547, 621, 748, 682, 693.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.